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Set approximations in fuzzy formal concept analysis

机译:模糊形式概念分析中的集近似

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摘要

Formal concept analysis and rough set theory are two important tools in knowledge representation and knowledge discovery in relational information systems. The purpose of this paper is to study rough set approximations within formal concept analysis in fuzzy environment. Properties of existent fuzzy concept lattices derived from an adjoint pair of operations are first reviewed and examined. Based on both lattice-theoretic and fuzzy set-theoretic operators, two new pairs of rough fuzzy set approximations within fuzzy formal contexts are then defined. Finally, properties of the rough fuzzy set approximation operators are presented in detail.
机译:形式概念分析和粗糙集理论是关系信息系统中知识表示和知识发现的两个重要工具。本文的目的是研究模糊环境下形式概念分析中的粗糙集近似。首先审查和检查从伴随的运算对导出的现有模糊概念格的性质。基于晶格理论和模糊集理论算子,然后定义了模糊形式上下文内的两对新的粗糙模糊集近似。最后,详细介绍了粗糙模糊集近似算子的性质。

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